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242125 = 5313149
BaseRepresentation
bin111011000111001101
3110022010121
4323013031
530222000
65104541
72025622
oct730715
9408117
10242125
11155a04
12b8151
1386290
1464349
154bb1a
hex3b1cd

242125 has 16 divisors (see below), whose sum is σ = 327600. Its totient is φ = 177600.

The previous prime is 242119. The next prime is 242129. The reversal of 242125 is 521242.

It can be written as a sum of positive squares in 8 ways, for example, as 175561 + 66564 = 419^2 + 258^2 .

It is not a de Polignac number, because 242125 - 25 = 242093 is a prime.

242125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 242099 and 242108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551 + ... + 1699.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2242125 is an apocalyptic number.

242125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

242125 is a deficient number, since it is larger than the sum of its proper divisors (85475).

242125 is a wasteful number, since it uses less digits than its factorization.

242125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The square root of 242125 is about 492.0619879649. The cubic root of 242125 is about 62.3275244729.

Adding to 242125 its reverse (521242), we get a palindrome (763367).

The spelling of 242125 in words is "two hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 149 325 745 1625 1937 3725 9685 18625 48425 242125